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Finding the Fourth Proportional to 509.70, 714.30 and 509.70

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Solution

The fourth proportional to 509.70, 714.30 and 509.70 is: 714.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.70 : 714.30 = 509.70 : x
  2. Step 2: Convert to fraction form
    509.70/714.30 = 509.70/x
  3. Step 3: Cross multiply
    509.70x = 714.30 × 509.70
  4. Step 4: Simplify right side
    509.70x = 364,078.71
  5. Step 5: Solve for x
    x = 364,078.71/509.70
  6. Step 6: Final answer
    x = 714.30

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.